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A priori bounds for periodic solutions of a delay Rayleigh equation. (English) Zbl 0980.34068
Consider the delay equation $$(*)$$ $$x'' (t) + \lambda f(x' (t)) + \lambda g(x(t-\tau (t))) =\lambda p(t),$$ where all functions are continuous, $$\tau$$ and $$p$$ are $$2\pi$$-periodic, $$f(0)=0.$$ The authors establish a priori bounds on periodic solutions to $$(*)$$ and prove a theorem on the existence of periodic solutions by means of the continuation method.

##### MSC:
 34K13 Periodic solutions to functional-differential equations
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##### References:
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